Computing $A$-resultants via direct images
Algebraic Geometry
2026-02-17 v1 Commutative Algebra
Abstract
We improve a previously known theoretic method to compute A-resultants for suitable monomial support sets due to Weyman to the extent that it becomes computationally feasible and effective. This is achieved by introducing a new algorithm for the computation of direct images of complexes of coherent sheaves on toric varieties. The procedure does not rely on Gr\"obner basis computations at any stage.
Keywords
Cite
@article{arxiv.2602.14657,
title = {Computing $A$-resultants via direct images},
author = {Friedemann Groh and Matthias Zach},
journal= {arXiv preprint arXiv:2602.14657},
year = {2026}
}
Comments
23 pages, 1 figure; we expect the accompanying implementation to soon be available in the computer algebra system OSCAR (www.oscar-system.org)